Conjecture (C) on in-plane minimizers of the cylindrical energy
Let ckappa2>0ckappa^2>0ckappa2>0, let H♯1([−cpi,cpi],S2)H^1_{\sharp}([-cpi,cpi],\mathbb{S}^2)H♯1([−cpi,cpi],S2) denote the space of periodic H1H^1H1 maps from the interval [−cpi,cpi][-cpi,cpi][−cpi,cpi] into the unit sphere, and define … Here an in-p…